(Enter summary)
Abstract: We investigate semantical normalization proofs for typed combinatory logic and weak -calculus.
One builds a model and a function `quote' which inverts the interpretation function. A normalization
function is then obtained by composing quote with the interpretation function.
Our models are just like the intended model, except that the function space includes a syntactic
component as well as a semantic one. We call this a `glued' model because of its similarity with
the glueing construction in... (Update)
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0.5: Martin-Löf's Type Theory - Nordström, Petersson, Smith
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0.5: Implementing a Category of Sets in ALF - Gaspes (1994)
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0.2: Inductive Definitions and Type Theory: An Introduction - Coquand, Dybjer
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0.2: Reduction-free normalisation for system F - Altenkirch, Hofmann, Streicher (1996)
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19: Categorical reconstruction of a reduction free normalization proof
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BibTeX entry: (Update)
Thierry Coquand and Peter Dybjer. Intuitionistic model constructions and normalization proofs. Mathematical Structures in Computer Science, 7:73--94, 1997. http://citeseer.ist.psu.edu/article/coquand98intuitionistic.html More
@article{ coquand97intuitionistic,
author = "Thierry Coquand and Peter Dybjer",
title = "Intuitionistic Model Constructions and Normalization Proofs",
journal = "Mathematical Structures in Computer Science",
volume = "7",
number = "1",
pages = "75-94",
year = "1997",
url = "citeseer.ist.psu.edu/article/coquand98intuitionistic.html" }
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The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.cs.chalmers.se/~peterd/): More
Final Report - Febr Ua Ry
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A Finite Axiomatization of Inductive-Recursive Definitions - Dybjer, Setzer (1998)
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Inductive Definitions and Type Theory: An Introduction - Coquand, Dybjer
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